3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Largest Eigenvalue of the Laplacian Matrix
Benjamin Iriarte Giraldo
We study the eigenspace of the Laplacian matrix of a simple graph corresponding to the largest eigenvalue, subsequently arriving at the theory of modular decomposition of T. Gallai…
Acyclic Orientations and Spanning Trees
Benjamin Iriarte Giraldo
We introduce polytopal cell complexes associated with partial acyclic orientations of a simple graph, which generalize acyclic orientations. Using the theory of cellular resolution…
Dissimilarity vectors of trees are contained in the tropical Grassmannian
Benjamin Iriarte Giraldo
In this short writing we prove that the set of m-dissimilarity vectors of n-trees is contained in the (m,n)-tropical Grassmannian, answering a question of Pachter and Speyer. We do…
A bijection between noncrossing and nonnesting partitions for classical reflection groups
Alex Fink, Benjamin Iriarte Giraldo
We present an elementary type preserving bijection between noncrossing and nonnesting partitions for all classical reflection groups, answering a question of Athanasiadis.